Quantum stabilization of a closed Nielsen-Olesen string

Quandt, Markus; Graham, Noah; Weigel, H.

doi:10.1103/physrevd.87.085013

Cited by 7 publications

(13 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The specific dependencies m(a) and V (a) are determined by the model under consideration and by the initial configuration (16). Apart from the equations of motion following from L eff (a,ȧ), one needs to specify the initial separation between the kinks a(0) and the initial speed |ȧ(0)| of the kink.…”

Section: Collective Coordinate Approximationmentioning

confidence: 99%

See 1 more Smart Citation

Kink interactions in the(1+1)-dimensionalφ6model

2014

View full text Add to dashboard Cite

We study kink scattering processes in the (1+1)-dimensional ϕ 6 model in the framework of the collective coordinate approximation. We find critical values of the initial velocities of the colliding kinks. These critical velocities distinguish different regimes of collisions. The exact equation of motion for the ϕ 6 model is also solved numerically with the same initial conditions.We discuss advantages and disadvantages of the collective coordinate approximation, and also outline its applicability limits. Resonance phenomena and the so-called escape windows are also observed in the kink collisions.

show abstract

Section: Collective Coordinate Approximationmentioning

confidence: 99%

“…Special attention should be paid to configurations of strings or vortices [1, 14,15]. In particular, there are important results on quantum stabilization of strings [16][17][18] and strings/vortices/monopoles dynamics [19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Kink interactions in the(1+1)-dimensionalφ6model

2014

View full text Add to dashboard Cite

show abstract

“…Field models that can develop topological solutions are also very important in the context of classical and quantum field theory, high-energy physics, cosmology, as well as hadron and nuclear physics [5][6][7][8][9][10]. In this relation, one has also to mention the progress in the research of properties of strings, vortices and monopoles [1,[11][12][13][14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Kink excitation spectra in the (1+1)-dimensional φ8 model

Gani

Lensky

Lizunova

2015

J. High Energ. Phys.

114

110

View full text Add to dashboard Cite

Abstract:We study excitation spectra of BPS-saturated topological solutions -the kinks -of the ϕ 8 scalar field model in (1 + 1) dimensions, for three different choices of the model parameters. We demonstrate that some of these kinks have a vibrational mode, apart from the trivial zero (translational) excitation. One of the considered kinks is shown to have three vibrational modes. We perform a numerical calculation of the kink-kink scattering in one of the considered variants of the ϕ 8 model, and find the critical collision velocity v cr that separates the different collision regimes: inelastic bounce of the kinks at v in ≥ v cr , and capture at v in < v cr . We also observe escape windows at some values of v in < v cr where the kinks escape to infinity after bouncing off each other two or more times. We analyse the features of these windows and discuss their relation to the resonant energy exchange between the translational and the vibrational excitations of the colliding kinks.

show abstract

“…[14] and references therein. However, the standard model has neither a arXiv:1505.07631v1 [hep-th] 28 May 2015 classical nor a topological mechanism to stabilize an isolated string to ensure that we would still observe string networks at the present epoch. Thus these interesting configurations are only viable if they are bound dynamically by their interaction with the quantum fluctuations of the fields.…”

Section: Introductionmentioning

confidence: 99%

Quantum stabilization of cosmic strings

2015

Self Cite

View full text Add to dashboard Cite

In the standard model, stabilization of a classically unstable cosmic string may occur through the quantum fluctuations of a heavy fermion doublet. We review numerical results from a semiclassical expansion in a reduced version of the standard model. In this expansion the leading quantum corrections emerge at one loop level for many internal degrees of freedom. The resulting vacuum polarization energy and the binding energy of occupied fermion energy levels are of the same order, and must therefore be treated on equal footing. Populating these bound states lowers the total energy compared to the same number of free fermions. Charged strings are already stabilized for a fermion mass only somewhat larger than the top quark mass. Though obtained in a reduced version these results suggest that neither extraordinarily large fermion masses nor unrealistic couplings are required to bind a cosmic string in the standard model. Furthermore we also review results for a quantum stabilization mechanism that prevents closed Nielsen-Olesen type strings from collapsing.

show abstract

Quantum stabilization of a closed Nielsen-Olesen string

Cited by 7 publications

References 50 publications

Kink interactions in the(1+1)-dimensionalφ6model

Kink interactions in the(1+1)-dimensionalφ6model

Kink excitation spectra in the (1+1)-dimensional φ8 model

Quantum stabilization of cosmic strings

Contact Info

Product

Resources

About